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• W1926479504 abstract "We show that the elastic energy $$E(gamma )$$ of a closed curve $$gamma $$ has a minimizer among all plane simple regular closed curves of given enclosed area $$A(gamma )$$ , and that the minimum is attained for a circle. The proof is of a geometric nature and deforms parts of $$gamma $$ in a finite number of steps to construct some related convex sets with smaller energy." @default.
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• W1926479504 date "2015-09-05" @default.
• W1926479504 modified "2023-10-14" @default.
• W1926479504 title "The elastica problem under area constraint" @default.
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• W1926479504 doi "https://doi.org/10.1007/s00208-015-1284-y" @default.
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